Abstract
For the classes of functions
where Φ is a majorant and r ∈ ℤ+, lower and upper bounds for the Bernstein, Kolmogorov, and linear mean ν-widths in the space L2(ℝ) are obtained. A condition on the majorant Φ under which the exact values of these widths can be calculated is indicated. Several examples illustrating the results are given.
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Russian Text © The Author(s), 2019, published in Matematicheskie Zametki, 2019, Vol. 106, No. 2, pp. 198–211.
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Vakarchuk, S.B. On Estimates in L2(ℝ) of Mean ν-Widths of Classes of Functions Defined via the Generalized Modulus of Continuity of ωℳ. Math Notes 106, 191–202 (2019). https://doi.org/10.1134/S000143461907023X
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DOI: https://doi.org/10.1134/S000143461907023X